2616468480 has 308 divisors, whose sum is σ = 9423806652. Its totient is φ = 696729600.

The previous prime is 2616468451. The next prime is 2616468497. The reversal of 2616468480 is 848646162.

2616468480 is a `hidden beast` number, since 2 + 6 + 164 + 6 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1649009664 + 967458816 = 40608^2 + 31104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732130 + ... + 3732830.

Almost surely, 2^2616468480 is an apocalyptic number.

2616468480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711903326).

2616468480 is an abundant number, since it is smaller than the sum of its proper divisors (6807338172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2616468480 is an frugal number, since it uses more digits than its factorization.

2616468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2616468480 is about 51151.4269595678. The cubic root of 2616468480 is about 1377.9660016483.

The spelling of 2616468480 in words is "two billion, six hundred sixteen million, four hundred sixty-eight thousand, four hundred eighty".